The wreath product of $\mathbb {Z}$ with $\mathbb {Z}$ has Hilbert compression exponent $\frac {2}{3}$

DOI10.1090/S0002-9939-08-09501-4zbMath1226.20032arXiv0706.1943MaRDI QIDQ3600586

Assaf Naor, Yuval Peres, Tim D. Austin

Publication date: 5 February 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.1943

zbMATH Keywords

coarse geometrygeometric group theoryMarkov typesHilbert compression exponents

Mathematics Subject Classification ID

Geometric group theory (20F65) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

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